A t-intersecting Hilton-Milner theorem for vector spaces for n=2k+1 and q ≥ 3

被引：0

作者：

Wang, Yunpeng ^{[1
]}

Yang, Jizhen ^{[2
]}

机构：

[1] Luoyang Inst Sci & Technol, Dept Math & Phys, Luoyang 471023, Peoples R China

[2] Luoyang Normal Coll, Dept Math, Luoyang 471934, Peoples R China

来源：

FILOMAT | 2024年 / 38卷 / 28期

基金：

中国国家自然科学基金;

关键词：

Hilton-Milner theorem; t-intersecting; vector spaces; SYSTEMS;

D O I：

10.2298/FIL2428997W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let V be an n-dimensional vector space over GF(q) and [V k] denote the family of all k-dimensional subspaces of V. Suppose that F subset of [V k ] denotes a non-trivial t-intersecting family with t >= 2. Cao et al. [2] determined the structures of F with maximum size for large n. Wang et al. [12] improved the applicable range to n >= 2k + 2. In this paper, we determine the structures of F with maximum size for n = 2k + 1 and q >= 3.

引用

页码：9997 / 10011

页数：15

共 50 条

[1] A t-intersecting Hilton-Milner theorem for vector spaces
Wang, Yunpeng
Xu, Ao
Yang, Jizhen
LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 680 : 220 - 238
[2] A Hilton-Milner Theorem for Vector Spaces
Blokhuis, A.
Brouwer, A. E.
Chowdhury, A.
Frankl, P.
Mussche, T.
Patkos, B.
Szonyi, T.
ELECTRONIC JOURNAL OF COMBINATORICS, 2010, 17 (01):
[3] Small point sets of PG(n, q 3) intersecting each k-subspace in 1 mod q points
Harrach, Nora V.
Metsch, Klaus
DESIGNS CODES AND CRYPTOGRAPHY, 2010, 56 (2-3) : 235 - 248
[4] Small point sets of PG(n, q3) intersecting each k-subspace in 1 mod q points
Nóra V. Harrach
Klaus Metsch
Designs, Codes and Cryptography, 2010, 56 : 235 - 248
[5] The q, t-symmetry of the generalized q, t-Catalan number C(k1,k2,k3)(q, t)
Xin, Guoce
Zhang, Yingrui
JOURNAL OF ALGEBRAIC COMBINATORICS, 2025, 61 (01)
[6] A NEW q-ANALOGUE OF THE BINOMIAL IDENTITY Σk(-1)k( n+3k2n ) = 2 <middle dot> 3n-1
Li, Yan-ni
Zhao, Yuan-yuan
TRANSACTIONS ON COMBINATORICS, 2024, 13 (02) : 137 - 142
[7] Characterization results on small blocking sets of the polar spaces Q+(2n + 1, 2) and Q+(2n + 1, 3)
J. De Beule
K. Metsch
L. Storme
Designs, Codes and Cryptography, 2007, 44 : 197 - 207
[8] The strongest forms of Banach-Stone theorem to C0(K, lnp) spaces for all n ≥ 3 and p close to 2
Galego, Eloi Medina
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 541 (02)
[9] The q, t-symmetry of the generalized q, t-Catalan number C(k1,k2,k3)(q,t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_{(k_1,k_2,k_3)}(q,t)$$\end{document}
Guoce Xin
Yingrui Zhang
Journal of Algebraic Combinatorics, 2025, 61 (1)
[10] P3/2 BAR K N SCATTERING IN T=1 STATE AND Y'1 REGGE POLE
CHOUDHURI, SR
NUOVO CIMENTO, 1965, 35 (01): : 120 - +

← 1 2 3 4 5 →